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Author  Title  Accn#  Year  Item Type  Claims 
1 
Ungar, Abraham A 
Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession 
I11260 
2001 
eBook 

2 
Ungar, A.A 
Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession 
I10899 
2002 
eBook 

3 
Duplij, S 
Concise Encyclopedia of Supersymmetry 
I10524 
2004 
eBook 

4 
Doktorov, Evgeny V 
A Dressing Method in Mathematical Physics 
I05617 
2007 
eBook 

5 
Borowiec, Andrzej 
Spinors, Twistors, Clifford Algebras and Quantum Deformations 
I05350 
1993 
eBook 

6 
Van Oystaeyen, Freddy 
Methods in Ring Theory 
I04623 
1984 
eBook 

7 
Tanner, Elizabeth A 
Noncompact Lie Groups and Some of Their Applications 
I04271 
1994 
eBook 

8 
Ibort, Alberto 
Integrable Systems, Quantum Groups, and Quantum Field Theories 
I03653 
1993 
eBook 

9 
Dlab, V 
Finite Dimensional Algebras and Related Topics 
I02890 
1994 
eBook 

10 
Carter, R.W 
Algebraic Groups and their Representations 
I02777 
1998 
eBook 


1.


Title  Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces 
Author(s)  Ungar, Abraham A 
Publication  Dordrecht, Springer Netherlands, 2001. 
Description  XLII, 419 p. 25 illus : online resource 
Abstract Note  "I cannot define coincidence [in mathematics]. But 1 shall argue that coincidence can always be elevated or organized into a superstructure which perfonns a unification along the coincidental elements. The existence of a coincidence is strong evidence for the existence of a covering theory. " Philip 1. Davis [Dav81] Alluding to the Thomas gyration, this book presents the Theory of gy?? rogroups and gyrovector spaces, taking the reader to the immensity of hyper?? bolic geometry that lies beyond the Einstein special theory of relativity. Soon after its introduction by Einstein in 1905 [Ein05], special relativity theory (as named by Einstein ten years later) became overshadowed by the ap?? pearance of general relativity. Subsequently, the exposition of special relativity followed the lines laid down by Minkowski, in which the role of hyperbolic ge?? ometry is not emphasized. This can doubtlessly be explained by the strangeness and unfamiliarity of hyperbolic geometry [Bar98]. The aim of this book is to reverse the trend of neglecting the role of hy?? perbolic geometry in the special theory of relativity, initiated by Minkowski, by emphasizing the central role that hyperbolic geometry plays in the theory 
ISBN,Price  9789401091220 
Keyword(s)  1. Astronomy, Observations and Techniques
2. Astronomy???Observations
3. EBOOK
4. EBOOK  SPRINGER
5. MATHEMATICAL PHYSICS
6. Nonassociative Rings and Algebras
7. Nonassociative rings
8. Observations, Astronomical
9. Rings (Algebra)
10. Theoretical, Mathematical and Computational Physics

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I11260 


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2.


Title  Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces 
Author(s)  Ungar, A.A 
Publication  Dordrecht, Springer Netherlands, 2002. 
Description  464 p : online resource 
Abstract Note  Evidence that Einstein's addition is regulated by the Thomas precession has come to light, turning the notorious Thomas precession, previously considered the ugly duckling of special relativity theory, into the beautiful swan of gyrogroup and gyrovector space theory, where it has been extended by abstraction into an automorphism generator, called the Thomas gyration. The Thomas gyration, in turn, allows the introduction of vectors into hyperbolic geometry, where they are called gyrovectors, in such a way that Einstein's velocity additions turns out to be a gyrovector addition. Einstein's addition thus becomes a gyrocommutative, gyroassociative gyrogroup operation in the same way that ordinary vector addition is a commutative, associative group operation. Some gyrogroups of gyrovectors admit scalar multiplication, giving rise to gyrovector spaces in the same way that some groups of vectors that admit scalar multiplication give rise to vector spaces. Furthermore, gyrovector spaces form the setting for hyperbolic geometry in the same way that vector spaces form the setting for Euclidean geometry. In particular, the gyrovector space with gyrovector addition given by Einstein's (M??bius') addition forms the setting for the Beltrami (Poincar??) ball model of hyperbolic geometry. The gyrogrouptheoretic techniques developed in this book for use in relativity physics and in hyperbolic geometry allow one to solve old and new important problems in relativity physics. A case in point is Einstein's 1905 view of the Lorentz length contraction, which was contradicted in 1959 by Penrose, Terrell and others. The application of gyrogrouptheoretic techniques clearly tilt the balance in favor of Einstein 
ISBN,Price  9780306471346 
Keyword(s)  1. Astronomy, Observations and Techniques
2. Astronomy???Observations
3. EBOOK
4. EBOOK  SPRINGER
5. GEOMETRY
6. MATHEMATICAL PHYSICS
7. Nonassociative Rings and Algebras
8. Nonassociative rings
9. Observations, Astronomical
10. Rings (Algebra)
11. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I10899 


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3.


Title  Concise Encyclopedia of Supersymmetry : And Noncommutative Structures in Mathematics and Physics 
Author(s)  Duplij, S 
Publication  Dordrecht, Springer Netherlands, 2004. 
Description  eReference : online resource 
Abstract Note  The book is the first fullsize Encyclopedia which simultaneously covers such wellestablished and modern subjects as quantum field theory, supersymmetry, supergravity, Mtheory, black holes and quantum gravity, noncommutative geometry, representation theory, categories and quantum groups, and their generalizations. The extraordinary historical part "the SUSY story," more than 700 authored articles from more than 250 highlevel experts (including Nobel Prize Winner Gerard 't Hooft), a detailed (50 pages) Subject/Article three level index and an Author index, make the SUSY Encyclopedia an outstanding and indispensable book on the desk of researchers, experts, Ph.D. students, specialists and professionals in modern methods of theoretical and mathematical physics 
ISBN,Price  9781402045226 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. GROUP THEORY
4. Group Theory and Generalizations
5. MATHEMATICAL PHYSICS
6. Nonassociative Rings and Algebras
7. Nonassociative rings
8. Rings (Algebra)
9. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I10524 


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4.


Title  A Dressing Method in Mathematical Physics 
Author(s)  Doktorov, Evgeny V;Leble, Sergey B 
Publication  Dordrecht, Springer Netherlands, 2007. 
Description  XXIV, 383 p : online resource 
Abstract Note  The monograph is devoted to the systematic presentation of the so called "dressing method" for solving differential equations (both linear and nonlinear) of mathematical physics. The essence of the dressing method consists in a generation of new nontrivial solutions of a given equation from (maybe trivial) solution of the same or related equation. The Moutard and Darboux transformations discovered in XIX century as applied to linear equations, the B??cklund transformation in differential geometry of surfaces, the factorization method, the RiemannHilbert problem in the form proposed by Shabat and Zakharov for soliton equations and its extension in terms of the dbar formalism comprise the main objects of the book. Throughout the text, a generally sufficient "linear experience" of readers is exploited, with a special attention to the algebraic aspects of the main mathematical constructions and to practical rules of obtaining new solutions. Various linear equations of classical and quantum mechanics are solved by the Darboux and factorization methods. An extension of the classical Darboux transformations to nonlinear equations in 1+1 and 2+1 dimensions, as well as its factorization are discussed in detail. The applicability of the local and nonlocal RiemannHilbert problembased approach and its generalization in terms of the dbar method are illustrated on various nonlinear equations 
ISBN,Price  9781402061400 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. CLASSICAL ELECTRODYNAMICS
4. EBOOK
5. EBOOK  SPRINGER
6. ELECTRODYNAMICS
7. ENGINEERING MATHEMATICS
8. Functions of a Complex Variable
9. FUNCTIONS OF COMPLEX VARIABLES
10. Mathematical and Computational Engineering
11. Mathematical Methods in Physics
12. Nonassociative Rings and Algebras
13. Nonassociative rings
14. OPTICS
15. PHYSICS
16. Rings (Algebra)

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Call#  Status  Issued To  Return Due On  Physical Location 
I05617 


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5.


Title  Spinors, Twistors, Clifford Algebras and Quantum Deformations : Proceedings of the Second Max Born Symposium held near Wroc??aw, Poland, September 1992 
Author(s)  Borowiec, Andrzej;Jancewicz, Bernard;Oziewicz, Zbigniew 
Publication  Dordrecht, Springer Netherlands, 1993. 
Description  XXV, 430 p : online resource 
Abstract Note  ZBIGNIEW OZIEWICZ University of Wroclaw, Poland December 1992 The First Max Born Symposium in Theoretical and Mathematical Phy?? sics, organized by the University of Wrodaw, was held in September 1991 with the intent that it would become an annual event. It is the outgrowth of the annual Seminars organized jointly since 1972 with the University of Leipzig. The name of the Symposia was proposed by Professor Jan Lopu?? szanski. Max Born, an outstanding German theoretical physicist, was born in 1883 in Breslau (the German name of Wrodaw) and educated here. The Second Max Born Symposium was held during the four days 24 27 September 1992 in an old Sobotka Castle 30 km west of Wrodaw. The Sobotka Castle was built in the eleventh century. The dates engraved on the walls of the Castle are 1024, 1140, and at the last rebuilding, 1885. The castle served as a cloister until the end of the sixteenth century 
ISBN,Price  9789401117197 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. MATHEMATICAL PHYSICS
4. Nonassociative Rings and Algebras
5. Nonassociative rings
6. Rings (Algebra)
7. Theoretical, Mathematical and Computational Physics

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I05350 


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7.


Title  Noncompact Lie Groups and Some of Their Applications 
Author(s)  Tanner, Elizabeth A;Wilson, R 
Publication  Dordrecht, Springer Netherlands, 1994. 
Description  512 p : online resource 
Abstract Note  During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig?? nificance. Several physical observations which were not understood before are now explained in terms of models based on new grouptheoretical structures such as dy?? namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with the opportunity to present their recent results and to discuss the challenges facing them in the many problems that remain. The objective of the workshop was indeed well achieved. This book contains 31 lectures presented by invited participants attending the NATO Advanced Research Workshop held in San Antonio, Texas, during the week of January 38, 1993. The introductory article by the editors provides a brief review of the concepts underlying these lectures (cited by author [*]) and mentions some of their applications. The articles in the book are grouped under the following general headings: Lie groups and Lie algebras, Lie superalgebras and Lie supergroups, and Quantum groups, and are arranged in the order in which they are cited in the introductory article. We are very thankful to Dr 
ISBN,Price  9789401110785 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. GLOBAL ANALYSIS (MATHEMATICS)
4. Global Analysis and Analysis on Manifolds
5. GROUP THEORY
6. Group Theory and Generalizations
7. LIE GROUPS
8. Manifolds (Mathematics)
9. MATHEMATICAL PHYSICS
10. Nonassociative Rings and Algebras
11. Nonassociative rings
12. Rings (Algebra)
13. Theoretical, Mathematical and Computational Physics
14. TOPOLOGICAL GROUPS
15. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I04271 


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8.


Title  Integrable Systems, Quantum Groups, and Quantum Field Theories 
Author(s)  Ibort, Alberto;Rodr??guez, M.A 
Publication  Dordrecht, Springer Netherlands, 1993. 
Description  XI, 502 p : online resource 
Abstract Note  In many ways the last decade has witnessed a surge of interest in the interplay between theoretical physics and some traditional areas of pure mathematics. This book contains the lectures delivered at the NATOASI Summer School on `Recent Problems in Mathematical Physics' held at Salamanca, Spain (1992), offering a pedagogical and updated approach to some of the problems that have been at the heart of these events. Among them, we should mention the new mathematical structures related to integrability and quantum field theories, such as quantum groups, conformal field theories, integrable statistical models, and topological quantum field theories, that are discussed at length by some of the leading experts on the areas in several of the lectures contained in the book. Apart from these, traditional and new problems in quantum gravity are reviewed. Other contributions to the School included in the book range from symmetries in partial differential equations to geometrical phases in quantum physics. The book is addressed to researchers in the fields covered, PhD students and any scientist interested in obtaining an updated view of the subjects 
ISBN,Price  9789401119801 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. LIE GROUPS
4. MATHEMATICAL PHYSICS
5. Nonassociative Rings and Algebras
6. Nonassociative rings
7. PARTIAL DIFFERENTIAL EQUATIONS
8. Rings (Algebra)
9. Theoretical, Mathematical and Computational Physics
10. TOPOLOGICAL GROUPS
11. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I03653 


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9.


Title  Finite Dimensional Algebras and Related Topics 
Author(s)  Dlab, V;Scott, Leonard 
Publication  Dordrecht, Springer Netherlands, 1994. 
Description  XIV, 392 p : online resource 
Abstract Note  Based on invited lectures at the 1992 Canadian Algebra Seminar, this volume represents an uptodate and unique report on finitedimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory, finite groups, and homological algebra. It will interest mathematicians and graduate students in these and related subjects as an introduction to research in an area of increasing relevance and importance 
ISBN,Price  9789401715560 
Keyword(s)  1. ALGEBRA
2. COMMUTATIVE ALGEBRA
3. Commutative rings
4. Commutative Rings and Algebras
5. EBOOK
6. EBOOK  SPRINGER
7. Nonassociative Rings and Algebras
8. Nonassociative rings
9. Rings (Algebra)

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I02890 


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10.
 
Title  Algebraic Groups and their Representations 
Author(s)  Carter, R.W;Saxl, J 
Publication  Dordrecht, Springer Netherlands, 1998. 
Description  XVIII, 374 p : online resource 
Abstract Note  This volume contains 19 articles written by speakers at the Advanced Study Institute on 'Modular representations and subgroup structure of al?? gebraic groups and related finite groups' held at the Isaac Newton Institute, Cambridge from 23rd June to 4th July 1997. We acknowledge with gratitude the financial support given by the NATO Science Committee to enable this ASI to take place. Generous financial support was also provided by the European Union. We are also pleased to acknowledge funds given by EPSRC to the Newton Institute which were used to support the meeting. It is a pleasure to thank the Director of the Isaac Newton Institute, Professor Keith Moffatt, and the staff of the Institute for their dedicated work which did so much to further the success of the meeting. The editors wish to thank Dr. Ross Lawther and Dr. Nick Inglis most warmly for their help in the production of this volume. Dr. Lawther in particular made an invaluable contribution in preparing the volume for submission to the publishers. Finally we wish to thank the distinguished speakers at the ASI who agreed to write articles for this volume based on their lectures at the meet?? ing. We hope that the volume will stimulate further significant advances in the theory of algebraic groups 
ISBN,Price  9789401153089 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. GROUP THEORY
4. Group Theory and Generalizations
5. LIE GROUPS
6. Nonassociative Rings and Algebras
7. Nonassociative rings
8. Rings (Algebra)
9. TOPOLOGICAL GROUPS
10. Topological Groups, Lie Groups

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I02777 


On Shelf 



 